Matrices with normal defect one

Obstructive ventilatory defect with normal forced expiratory volume in one second/vital capacity ratio.

Density of Eigenvalues of Random Normal Matrices with an Arbitrary Potential, and of Generalized Normal Matrices⋆

Following the works by Wiegmann–Zabrodin, Elbau–Felder, Hedenmalm–Makarov, and others, we consider the normal matrix model with an arbitrary potential function, and explain how the problem of finding the support domain for the asymptotic eigenvalue density of such matrices (when the size of the matrices goes to infinity) is related to the problem of Hele-Shaw flows on curved surfaces, considere...

Tunable Defect Mode in One-Dimensional Ternary Nanophotonic Crystal with Mirror Symmetry

In this paper, the properties of the defect mode in the photonic band gap ofone-dimensional ternary photonic crystals containing high temperature superconductorlayer (SPCs) have been theoretically investigated. We considered the quasi-periodiclayered structures by choosing two order of ternary Thue-Morse structures with mirrorsymmetry. We investigated the transmission spectra of these structure...

Normal Toeplitz Matrices

It is well-known from the work of A. Brown and P.R. Halmos that an infinite Toeplitz matrix is normal if and only if it is a rotation and translation of a Hermitian Toeplitz matrix. In the present article we prove that all finite normal Toeplitz matrices are either generalised circulants or are obtained from Hermitian Toeplitz matrices by rotation and translation. ∗Supported in part by an NSERC...

Normal Matrices: an Update

A list of seventy conditions on an n {by{ n complex matrix A , equivalent to its being normal, published nearly ten years ago by Grone, Johnson, Sa, and Wolkowicz has proved to be very useful. Hoping that, in an extended form, it will be even more helpful, we compile here another list of about twenty conditions. They either have been overlooked by the authors of the original list or have appear...